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213963961122 = 23231235172
BaseRepresentation
bin1100011101000100111…
…1101111001100100010
3202110021111221102000200
43013101033233030202
512001144233223442
6242143234130030
721313140442632
oct3072117571442
9673244842020
10213963961122
118281809493a
1235574120916
131723b320472
14a4da8966c2
15587433934c
hex31d13ef322

213963961122 has 54 divisors (see below), whose sum is σ = 479161696689. Its totient is φ = 69001007760.

The previous prime is 213963961121. The next prime is 213963961151. The reversal of 213963961122 is 221169369312.

213963961122 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 6 + 3 + 9 + 611 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149172840441 + 64791120681 = 386229^2 + 254541^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=327081.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213963961121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60835308 + ... + 60838824.

Almost surely, 2213963961122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213963961122

213963961122 is an abundant number, since it is smaller than the sum of its proper divisors (265197735567).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213963961122 is an frugal number, since it uses more digits than its factorization.

213963961122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 3553 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 213963961122 in words is "two hundred thirteen billion, nine hundred sixty-three million, nine hundred sixty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 3517 5766 7034 8649 10551 17298 21102 31653 63306 109027 218054 327081 654162 981243 1962486 3379837 6759674 10139511 12369289 20279022 24738578 30418533 37107867 60837066 74215734 111323601 222647202 383447959 766895918 1150343877 2300687754 3451031631 6902063262 11886886729 23773773458 35660660187 71321320374 106981980561 213963961122